On the First Exit Time of a Nonnegative Markov Process Started at a Quasistationary Distribution
On the First Exit Time of a Nonnegative Markov Process Started at a Quasistationary Distribution
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Publisher
Cambridge, UK: Cambridge University Press
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Language
English
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Publisher
Cambridge, UK: Cambridge University Press
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Contents
Let {M
n
}
n≥0 be a nonnegative time-homogeneous Markov process. The quasistationary distributions referred to in this note are of the form Q
A
(x) = lim
n→∞P(M
n
≤ x | M
0 ≤ A,
M
1 ≤ A, …, M
n
≤ A). Suppose that M
0 has distribution Q
A
, and define T
A
Q
A
= min{n | M
n
> A, n ≥ 1}...
Alternative Titles
Full title
On the First Exit Time of a Nonnegative Markov Process Started at a Quasistationary Distribution
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TN_cdi_projecteuclid_primary_oai_CULeuclid_euclid_jap_1308662648
Permalink
https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_projecteuclid_primary_oai_CULeuclid_euclid_jap_1308662648
Other Identifiers
ISSN
0021-9002
E-ISSN
1475-6072
DOI
10.1239/jap/1308662648